Algebraic manipulation refers to the process of rearranging and simplifying algebraic expressions and equations. This involves using various mathematical operations, such as addition, subtraction, multiplication, and division, to isolate variables or simplify terms. Common techniques include combining like terms, factoring, and distributing. These manipulations are essential for solving equations, allowing mathematicians and students to find the value of unknown variables. Mastering algebraic manipulation is crucial for higher-level mathematics and is foundational for topics like calculus, linear algebra, and statistics. Understanding these skills can enhance problem-solving abilities in various fields.